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Find the co-ordinates of the mid-point o...

Find the co-ordinates of the mid-point of the join of the points A (3, 5, 7) and B(-3,-3, 1).

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Find the co-ordinates of the points, which divide the join of the points (1, -2, 3) and (3, 4, -5) in the ratio 2 : 3 externally.

Find the co-ordinates of the points where the line through the points (3,-4,-5) and (2,-3,1) crosses the plane 2x+y+z=7

Find the coordinates of the point which divides the join of the points (2,-1,3) and (4,3,1) in the ratio 3:4 internally.

Find the co-ordinates of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the xy-plane.

Find the co-ordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane x-2y+3z=19 . Hence, find the distance of this point from the point (5,4,1).

Find the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1, 2)

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the co-ordinates of the points, which divide the join of the poin...

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  2. Find the co-ordinates of the points, which divide the join of the poin...

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  3. Find the co-ordinates of the mid-point of the join of the points A (3,...

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  4. Find the coordinates of the points which trisect the line segment join...

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  5. Find the co-ordinates of the point R, which divides the join of P (0, ...

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  6. Find the ratio in which the line joining the points (- 2, 4, 5) and (3...

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  7. Find the ratio in which the line joining the points (- 2, 4, 5) and (3...

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  8. Find the ratio in which the line segment joining the points (4, 8, 10)...

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  9. Find the ratio in which yz-plane divides the line segment formed by Jo...

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  10. Find the ratio in which 2x+3y+5z=1 divides the line joining the points...

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  11. Given that A (3, 2,-4), B(5, 4, -6) and C(9, 8, -10) are collinear. Fi...

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  12. Using Section formula, show that the points A (2,- 3, 4), B (-1, 2, 1)...

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  13. Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find...

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  14. If the mid points of the sides of a triangle are (1, 5, -1), (0, 4, -2...

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  15. Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are ver...

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  16. Three vertices of parallelogram ABCD are A(3,-1,2), B(1,2,-4), C(-1,1,...

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  17. Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, ...

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  18. The vertices of triangle are A(1,1,2),B(4,3,1) and C(2,3,5). A vector ...

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  19. Find the lengths of the medians of the triangle A (0, 0, 6), B (0, 4, ...

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  20. The centroid of a triangle ABC is at the point (1,1,1). If the coordin...

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